Here is a quick process to get Orchard Core CMS up and running from the AppVeyour builds.

Step 1: Create an Empty ASP.NET Core Web Application

First create a new empty ASP.NET Core Web Application.

Step 2: Install Orchard Core Nuget Packages

Update - 24/04/2017

You should no longer need the other feeds that have the nuget package dependencies for Orchard Core, they have now been mirrored in the orchardcore-preview feed on MyGet. Therefore just use the single orchardcore-preview feed.

Now we need to add NuGet.config file next to your solution file that adds all the required feeds for both the Orchard Core preview packages, and the Orchard Core package dependencies that are also in various forms of Beta release. This is basically the same setup as the Orchard Core source code, except we have added one more feed for built packages.